{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "becoming-being",
   "metadata": {},
   "source": [
    "# Detecting outliers using residuals and STL\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we show how to identify outliers in time series using STL decomposition and examining the residuals.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is between January 1992 and Apr 2005.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "mental-presence",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from statsmodels.tsa.seasonal import STL\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "precise-combat",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "beginning-seller",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load retail sales dataset with the artificially added outliers\n",
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales_with_outliers.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "mediterranean-record",
   "metadata": {},
   "source": [
    "# Plot the data to visually inspect any outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "personal-runner",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(y=\"y\", marker=\".\", figsize=[10, 5], legend=None, ax=ax)\n",
    "ax.set_title(\"Retail Sales with outliers\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "stuffed-palestinian",
   "metadata": {},
   "source": [
    "In previous examples we de-seasonalised the data before applying our outlier detection methods. We shall see that we do not need to do this with STL decomposition. This is because STL decomposition breaks up a time series directly into a seasonality, trend, and residual component. We can examine that residual component for the purpose of identifying outliers directly."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "second-repeat",
   "metadata": {},
   "source": [
    "# Identifying outliers from the residuals of STL decomposition"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "brave-arbitration",
   "metadata": {},
   "source": [
    "If the time series has a strong seasonal component then STL decomposition can be used to compute the expected value $\\hat{y}_t$. STL decomposition provides an estimate of a trend component, seasonal component, and a residual component. The residuals are the original time series subtracted by the trend and seasonal component. The residuals from STL decomposition can be used to identify outliers."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "technological-worry",
   "metadata": {},
   "source": [
    "The expected value $\\hat{y}_t$ is computed as the trend and seasonal components of the STL:\n",
    "\n",
    "$$\\hat{y}_t = trend_t + seasonal_t$$\n",
    "\n",
    "where $seasonal_t$ and $trend_t$ are the values of the seasonal and trend component obtained by the STL decomposition at time $t$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "mineral-tuition",
   "metadata": {},
   "source": [
    "The residuals are computed: $e_t = y_t - \\hat{y}_t$\n",
    "and the quartiles and interquartile range of the residuals are calculated across the whole time series."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "charming-isaac",
   "metadata": {},
   "source": [
    "The threshold is defined by the distance from the lower and upper quartiles of the residuals and does not depend on time:\n",
    "\n",
    "$$\\delta_{upper} = Q_3 + \\alpha \\times IQR$$\n",
    "$$\\delta_{lower} = Q_1 - \\alpha \\times IQR$$\n",
    "\n",
    "$\\alpha=1.5$ is a typical choice, however this can be adjusted depending on how sensitive you want the outlier detection to be."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bottom-leather",
   "metadata": {},
   "source": [
    "A data point is an outlier if:\n",
    "$$e_t = y_t - \\hat{y}_t > \\delta_{upper}$$\n",
    "$$e_t = y_t - \\hat{y}_t < \\delta_{lower}$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "raised-ebony",
   "metadata": {},
   "source": [
    "We shall use the data **with** the seasonal component for this method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "upper-agency",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_ = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "steady-danish",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Apply STL decomposition\n",
    "# Setting the robust parameter to true means that a fitting method is used\n",
    "# that is more robust to outliers.\n",
    "res = STL(\n",
    "    df_,\n",
    "    robust=True,\n",
    ").fit()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "successful-thickness",
   "metadata": {},
   "source": [
    "We now plot the decomposition to inspect that it is reasonable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "informed-brother",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rc(\"figure\", figsize=(10, 10))\n",
    "plt.rc(\"font\", size=5)\n",
    "res.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "private-monitoring",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>residual</th>\n",
       "      <th>lower</th>\n",
       "      <th>upper</th>\n",
       "      <th>is_outlier</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376.0</td>\n",
       "      <td>984.653087</td>\n",
       "      <td>-5692.104751</td>\n",
       "      <td>5815.647076</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079.0</td>\n",
       "      <td>1922.820053</td>\n",
       "      <td>-5692.104751</td>\n",
       "      <td>5815.647076</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336.0</td>\n",
       "      <td>-233.773804</td>\n",
       "      <td>-5692.104751</td>\n",
       "      <td>5815.647076</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669.0</td>\n",
       "      <td>-1218.191626</td>\n",
       "      <td>-5692.104751</td>\n",
       "      <td>5815.647076</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068.0</td>\n",
       "      <td>548.978491</td>\n",
       "      <td>-5692.104751</td>\n",
       "      <td>5815.647076</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y     residual        lower        upper  is_outlier\n",
       "ds                                                                     \n",
       "1992-01-01  146376.0   984.653087 -5692.104751  5815.647076       False\n",
       "1992-02-01  147079.0  1922.820053 -5692.104751  5815.647076       False\n",
       "1992-03-01  159336.0  -233.773804 -5692.104751  5815.647076       False\n",
       "1992-04-01  163669.0 -1218.191626 -5692.104751  5815.647076       False\n",
       "1992-05-01  170068.0   548.978491 -5692.104751  5815.647076       False"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compute residuals\n",
    "df_[\"residual\"] = res.resid\n",
    "\n",
    "# Compute inter-quartile range\n",
    "Q1 = df_[\"residual\"].quantile(0.25)\n",
    "Q3 = df_[\"residual\"].quantile(0.75)\n",
    "IQR = Q3 - Q1\n",
    "\n",
    "# Apply 1.5 IQR as a threshold to identify outliers\n",
    "factor = 1.5\n",
    "df_[\"lower\"] = Q1 - factor * IQR\n",
    "df_[\"upper\"] = Q3 + factor * IQR\n",
    "df_[\"is_outlier\"] = (df_[\"residual\"] < (Q1 - factor * IQR)) | (\n",
    "    df_[\"residual\"] > (Q3 + factor * IQR)\n",
    ")\n",
    "\n",
    "df_.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "mounted-weight",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot time series\n",
    "df_[\"yhat = seasonal + trend\"] = res.seasonal + res.trend\n",
    "\n",
    "fig, ax = plt.subplots(nrows=2, figsize=[10, 10], sharex=True)\n",
    "df_.plot(y=[\"y\", \"yhat = seasonal + trend\"], marker=\".\", ax=ax[0])\n",
    "df_[\"residual\"] = df_[\"residual\"]\n",
    "\n",
    "# Plot residuals\n",
    "df_.plot(y=[\"residual\"], ax=ax[1], marker=\"o\", linestyle=\"\")\n",
    "df_.plot(y=[\"upper\", \"lower\"], ax=ax[1], color=\"k\", legend=None, alpha=0.9)\n",
    "\n",
    "# If any data points are identified as an outlier, plot them\n",
    "if df_[\"is_outlier\"].any():\n",
    "    df_[\"y\"].loc[df_[\"is_outlier\"]].plot(\n",
    "        marker=\"o\", color=\"r\", ax=ax[0], legend=None, linestyle=\"\", alpha=0.5\n",
    "    )\n",
    "    df_[\"residual\"].loc[df_[\"is_outlier\"]].plot(\n",
    "        marker=\"o\", color=\"r\", ax=ax[1], legend=None, linestyle=\"\"\n",
    "    )\n",
    "\n",
    "ax[0].set_ylabel(\"Retail Sales\")\n",
    "ax[1].set_ylabel(\"Residuals\")\n",
    "\n",
    "ax[1].set_xlabel(\"Time\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "inclusive-fundamentals",
   "metadata": {},
   "source": [
    "We can also visualise the residuals for outliers using a histogram and box plot. This also allows us to check that the data is approximately normal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "seven-cardiff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax_box, ax_hist) = plt.subplots(\n",
    "    2, sharex=True, gridspec_kw={\"height_ratios\": (0.20, 0.80)}, figsize=[12, 7]\n",
    ")\n",
    "sns.boxplot(x=df_[\"residual\"], ax=ax_box)\n",
    "sns.histplot(x=df_[\"residual\"], ax=ax_hist)\n",
    "\n",
    "ax_box.axes.get_xaxis().set_visible(False)\n",
    "ax_box.axes.get_yaxis().set_visible(False)\n",
    "\n",
    "ax_hist.vlines(Q1 - factor * IQR, 0, 40, color=\"r\")\n",
    "ax_hist.vlines(Q3 + factor * IQR, 0, 40, color=\"r\")\n",
    "sns.despine()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "young-domestic",
   "metadata": {},
   "source": [
    "As we can see the residual method is much more sensitive and identified even smaller fluctuations in the data. The outliers are much clearer in the residual plot. To make the methods less sensitive, a simple solution here would be to adjust threshold."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a355b7fd-de88-4301-af18-df6c1b01e17c",
   "metadata": {},
   "source": [
    "# Removing the outliers"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7e34d3a-b024-485b-887c-3b2121a2359f",
   "metadata": {},
   "source": [
    "Once the outliers are identified and a choice is made to remove them they can be imputed using missing value methods or using the values from the estimation methods. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee10e1c2-6c74-48d4-94b2-ad8016f1965c",
   "metadata": {},
   "source": [
    "As an example we shall use linear interpolation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "627554a7-09a4-4ae3-9bfc-a8b749d5687a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set outliers to NaN\n",
    "df_.loc[df_[\"is_outlier\"], \"y\"] = np.NaN\n",
    "\n",
    "# Apply linear interpolation\n",
    "df_.interpolate(method=\"linear\", inplace=True)\n",
    "\n",
    "# Add the seasonality extracted from STL back to deseasoned data\n",
    "df_[\"y\"] = df_[\"y\"] + res.seasonal\n",
    "\n",
    "# Plot the data and location of the identified outliers from the rolling median method\n",
    "fig, ax = plt.subplots(nrows=2, figsize=[10, 10])\n",
    "df.plot(y=\"y\", marker=\".\", title=\"Before imputing outliers\", ax=ax[0])\n",
    "df[df_[\"is_outlier\"]][\"y\"].plot(\n",
    "    marker=\"o\", color=\"r\", ax=ax[0], legend=None, linestyle=\"\", alpha=0.5\n",
    ")\n",
    "df_.plot(y=[\"y\"], marker=\".\", title=\"After imputing outliers\", ax=ax[1])\n",
    "df_[df_[\"is_outlier\"]][\"y\"].plot(\n",
    "    marker=\"o\", color=\"r\", ax=ax[1], legend=None, linestyle=\"\", alpha=0.5\n",
    ")\n",
    "ax[0].set_ylim([0, 600000])\n",
    "ax[1].set_ylim([0, 600000])\n",
    "\n",
    "plt.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
